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Application of analytic hierarchy process to prioritise urban transport options - comparative analysis of group aggregation methods

机译:层次分析法在城市交通方案优先排序中的应用-群体聚集方法的比较分析

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This paper presents a comparative analysis of different group aggregation methods adopted in analytic hierarchy process by testing them against social choice axioms with a case study of Delhi transport system. The group aggregation methods and their correctness were tested while prioritising the alternative options for energy efficient and less polluting transport system in Delhi. It was observed that among all group aggregation methods, geometric mean method, the most widely adopted group aggregation method of analytic hierarchy process, showed poor performance and failed to satisfy the most popular 'Pareto optimality and non-dictatorship axiom' raising questions on its validity as group aggregation method. All other group aggregation methods namely weighted arithmetic mean method with varying weights and equal weights and arithmetic mean of individual priorities resulted in concurring results with the individual member priorities. It was observed that weighted arithmetic mean method with equal weights aggregates individual priorities better compared to arithmetic mean method with varying weights. Arithmetic mean of the priorities by individual members of the group showed minimum deviation from the group consensus making it most suitable and simple method of aggregation.
机译:本文以德里运输系统为例,通过对社会选择公理进行测试,对层次分析层次方法中采用的不同群体聚集方法进行了比较分析。测试了组聚集方法及其正确性,同时优先考虑了德里高效节能和污染少的运输系统的替代方案。观察到,在所有的群聚方法中,几何均值法是最广泛采用的层次分析法的群聚方法,但表现不佳,无法满足最受欢迎的“帕累托最优性和非独裁性公理”,因此对其有效性提出质疑。作为组聚合方法。所有其他组聚合方法,即具有不同权重和相等权重的加权算术平均法以及各个优先级的算术平均值,导致与单个成员优先级的结果一致。已观察到,与权重不同的算术平均方法相比,权重相等的加权算术平均方法更好地聚合了各个优先级。小组中各个成员的优先级的算术平均值显示出与小组共识的偏差最小,这使其成为最合适,最简单的汇总方法。

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